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Mathematics & Statistics

Differential Equations
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Thursday, January 14, 2021

Title
Speaker
Time
Place

Linear dispersive waves
Wen-Xiu Ma
9:00pm–10:00pm
Zoom Meeting

Abstract

We will talk about linear dispersive waves and their corresponding dispersion relations. General solutions are formulated by Fourier integrals and their asymptotic behavior is determined by the method of steepest descents. Group velocity is linked to propagation of wave number, amplitude, and energy. The variational approach and asymptotic expansions are adopted for analyzing the conservation of wave action, extendable to the cases of nonuniform media and nonlinear wavetrains.